Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.3842/SIGMA.2012.003

We present the proof of the HRR theorem for a generic complex compact
manifold by evaluating the functional integral for the Witten index of the
appropriate supersymmetric quantum mechanical system.

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